Ron Larson
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1.4 Units & Conversions

1.4 Units & Conversions
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  • 21. Changing British Pounds to U.S. Dollars

    The table shows a sample of currency exchange rates for November 2010. You order a product from a British website. The list price is £223. How much does the product cost in U.S. dollars?

    • Worked-Out Solution

      To convert British pounds to U.S. dollars, use the conversion rate in the upper right corner of the table.

      Or, use the conversion rate in the upper center of the table.

      The difference in the dollar amounts is due to round-off error.

      In either case, the cost of the product is about $352.60.

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      _____    _    _   __    __   __   __   __   __  
 /  ___|| | || | || \ \\ / //  \ \\/ //  \ \\/ // 
| // __   | || | ||  \ \/ //    \ ` //    \   //  
| \\_\ || | \\_/ ||   \  //      | ||     / . \\  
 \____//   \____//     \//       |_||    /_//\_\\ 
  `---`     `---`       `        `-`'    `-`  --`
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  • 22. Finding the Cost of Carry-On Luggage

    The table shows a sample of currency exchange rates for November 2010. In Germany, an airline charges an extra 10 euro for each additional kilogram of carry-on luggage over 10 kilograms. Your carry-on luggage weighs 26.5 pounds. How much extra can you expect to pay in U.S. dollars?

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                 ___    __    __   __   __    _____   
  ____      / _ \\  \ \\ / //  \ \\/ //  / ____|| 
 |    \\   / //\ \\  \ \/ //    \ ` //  / //---`' 
 | [] ||  |  ___  ||  \  //      | ||   \ \\___   
 |  __//  |_||  |_||   \//       |_||    \_____|| 
 |_|`-`   `-`   `-`     `        `-`'     `----`  
 `-`
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  • 23. Filling Up with Gas in Mexico

    The table shows a sample of currency exchange rates for November 2010. A gas station in Mexico City charges Mex$7.73 for a liter of gasoline. Your car's 23-gallon tank is almost empty. How much will it cost in U.S. dollars to fill the tank?

    • Worked-Out Solution

      You can use either of the conversion rates between the Mexican peso and the U.S. dollar. Also, using the Volume Converter located in Tools, you can determine that 1 U.S. gallon ≈ 3.79 liters.

       

      Do you see how unit analysis works to solve these types of problems?

      You know your answer should be in dollars per tank. So, you create a string of factors in the product so that the units end up being dollars per tank.

      You could have also used the other conversion factor.

        

      In either case, the tank of gas will cost you about $53.98.

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      ______     ___      _____      ___      ______  
 /_____//   / _ \\   / ____||   / _ \\   /_____// 
 `____ `   / //\ \\ / //---`'  | / \ ||  `____ `  
 /___//   |  ___  ||\ \\___    | \_/ ||  /___//   
 `__ `    |_||  |_|| \_____||   \___//   `__ `    
 /_//     `-`   `-`   `----`    `---`    /_//     
 `-`                                     `-`
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  • 24. Converting Money around the World

    The table shows a sample of currency exchange rates for November 2010. You are in the United States and plan to travel to several other countries. You have $3000 in cash.

    1. Your first destination is Canada. Convert your cash to Canadian dollars.

    2. You leave Canada for Great Britain with C$2800. Convert this to British pounds.

    3. You depart from Great Britain for Spain with 1400 British pounds. Convert this to European euros.

    4. Your next stop is India. After your time in Spain, you have 1000 euros. Convert this to Indian rupees.

    5. From India, you leave for Japan. You have 50,000 rupees after your time in India. Convert this to Japanese yen.

    6. You return to the United States with 80,000 Japanese yen. Convert this to U.S. dollars? How much money did you spend total?

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               _    _    ______      ___      ______  
    ___   | || | || |      \\   / _ \\   /_   _// 
   /   || | || | || |  --  //  / //\ \\  `-| |,-  
  | [] || | \\_/ || |  --  \\ |  ___  ||   | ||   
   \__ ||  \____//  |______// |_||  |_||   |_||   
    -|_||   `---`   `------`  `-`   `-`    `-`'   
     `-`
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